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Finding the Third Proportional to 345,714.75 and 754,470

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Solution

The third proportional to 345,714.75 and 754,470 is: 1,646,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,714.75 : 754,470 = 754,470 : x
  2. Step 2: Convert to fraction form
    345,714.75/754,470 = 754,470/x
  3. Step 3: Cross multiply
    345,714.75x = 754,470 × 754,470
  4. Step 4: Simplify right side
    345,714.75x = 569,224,980,900
  5. Step 5: Solve for x
    x = 569,224,980,900/345,714.75
  6. Step 6: Final answer
    x = 1,646,516.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.